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Finding the Third Proportional to 1,644,243,878 and 3,880,121,311

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Solution

The third proportional to 1,644,243,878 and 3,880,121,311 is: 9,156,391,937.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644,243,878 : 3,880,121,311 = 3,880,121,311 : x
  2. Step 2: Convert to fraction form
    1,644,243,878/3,880,121,311 = 3,880,121,311/x
  3. Step 3: Cross multiply
    1,644,243,878x = 3,880,121,311 × 3,880,121,311
  4. Step 4: Simplify right side
    1,644,243,878x = 15,055,341,388,076,359,680
  5. Step 5: Solve for x
    x = 15,055,341,388,076,359,680/1,644,243,878
  6. Step 6: Final answer
    x = 9,156,391,937.67

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.